After tying one end of a rope to a stationary object, you flick the free end so

Question

After tying one end of a rope to a stationary object, you flick the free end so as to cause a sinusoidal standing wave that has a maximum displacement of 0.60 m and a wavelength of 1.23 m .

Part A

Select the correct time-dependent wave function in terms of the wave speed.

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Correct

Part B

What is the amplitude a?

Express your answer with the appropriate units.

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Part C

What is the wave number b?

Express your answer with the appropriate units.

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After tying one end of a rope to a stationary object, you flick the free end so as to cause a sinusoidal standing wave that has a maximum displacement of 0.60 m and a wavelength of 1.23 m .

Part A

Select the correct time-dependent wave function in terms of the wave speed.

Select the correct time-dependent wave function in terms of the wave speed. asin(bx) asin(bct) asin(t(xbc)) asin(b(xct))

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Correct

Part B

What is the amplitude a?

Express your answer with the appropriate units.

a=

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Part C

What is the wave number b?

Express your answer with the appropriate units.

b=

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Explanation / Answer

A.

OPTION D: a sin(b(xct)) [ANSWER]

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b)

As the maximum displacemnt is 0.60 m,

A = 0.60 m [ANSWER]

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c)

As

b = 2 pi / wavelength

Then

b = 2 pi / 1.23 m = 5.108280738 m-1 [ANSWER]

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